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Finding the Fourth Proportional to 301,287.38, 415,762.69 and 165,318.02

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Solution

The fourth proportional to 301,287.38, 415,762.69 and 165,318.02 is: 228,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,287.38 : 415,762.69 = 165,318.02 : x
  2. Step 2: Convert to fraction form
    301,287.38/415,762.69 = 165,318.02/x
  3. Step 3: Cross multiply
    301,287.38x = 415,762.69 × 165,318.02
  4. Step 4: Simplify right side
    301,287.38x = 68,733,064,700.67
  5. Step 5: Solve for x
    x = 68,733,064,700.67/301,287.38
  6. Step 6: Final answer
    x = 228,131.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.